411993 has 8 divisors (see below), whose sum is σ = 610400. Its totient is φ = 274644.

The previous prime is 411991. The next prime is 412001. The reversal of 411993 is 399114.

It is not a de Polignac number, because 411993 - 2¹ = 411991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15259 = 411993 / (4 + 1 + 1 + 9 + 9 + 3).

It is a Duffinian number.

411993 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (411991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7603 + ... + 7656.

It is an arithmetic number, because the mean of its divisors is an integer number (76300).

2⁴¹¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

411993 is a deficient number, since it is larger than the sum of its proper divisors (198407).

411993 is a wasteful number, since it uses less digits than its factorization.

411993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268 (or 15262 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 411993 is about 641.8668086137. The cubic root of 411993 is about 74.4097671881.

The spelling of 411993 in words is "four hundred eleven thousand, nine hundred ninety-three".